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Regularity for minimizers of functionals with p – q growth

✍ Scribed by Luca Esposito; Francesco Leonetti; Giuseppe Mingione


Publisher
SP Birkhäuser Verlag Basel
Year
1999
Tongue
English
Weight
352 KB
Volume
6
Category
Article
ISSN
1021-9722

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Higher Integrability for Minimizers of I
✍ L. Esposito; F. Leonetti; G. Mingione 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 176 KB

We prove higher integrability for minimizers u : 0 Ä R N of integral functionals 0 ( f (Du)+a(x) u) dx, where f satisfies a non standard growth condition of ( p, q) type, |z| p f (z) L(1+|z| q ), p<q.